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Finding the Fourth Proportional to 11,180.68, 15,422.34 and 7,197.64

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Solution

The fourth proportional to 11,180.68, 15,422.34 and 7,197.64 is: 9,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.68 : 15,422.34 = 7,197.64 : x
  2. Step 2: Convert to fraction form
    11,180.68/15,422.34 = 7,197.64/x
  3. Step 3: Cross multiply
    11,180.68x = 15,422.34 × 7,197.64
  4. Step 4: Simplify right side
    11,180.68x = 111,004,451.28
  5. Step 5: Solve for x
    x = 111,004,451.28/11,180.68
  6. Step 6: Final answer
    x = 9,928.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.